What is the Least Common Multiple of 68972 and 68977?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 68972 and 68977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68972 and 68977, than apply into the LCM equation.

GCF(68972,68977) = 1
LCM(68972,68977) = ( 68972 × 68977) / 1
LCM(68972,68977) = 4757481644 / 1
LCM(68972,68977) = 4757481644

Least Common Multiple (LCM) of 68972 and 68977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68972 and 68977. First we will calculate the prime factors of 68972 and 68977.

Prime Factorization of 68972

Prime Factorization of 68977

Now multiplying the highest exponent prime factors to calculate the LCM of 68972 and 68977.

LCM(68972,68977) = 2² × 43¹ × 401¹ × 23¹ × 2999¹
LCM(68972,68977) = 4757481644